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3 years ago

11

When their report cards came back, Pete, Chris, and Dina realized that they shared the number of A’s in the ratio 4:2:5. If Pete

got 14 more A’s than Chris, how many A’s did Dina get?

1 answer:

ankoles [38]3 years ago

6 0

15 I believe.. I could be wrong bc idk if youre adding the A's to the ratio or starting at 0

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Jimmy successfully factors a quadratic $4x^2 + bx + c$ as \[4x^2 + bx + c = (Ax + B)(Cx + D),\]where $A,$ $B,$ $C,$ and $D$ are

saul85 [17]

Answer:

±1, ±2, and ±4

Step-by-step explanation:

4x² + bx + c = (Ax + B) (Cx + D)

Distribute:

4x² + bx + c = ACx² + (AD + BC) x + BD

Matching the coefficients, AC = 4. So A must be a factor of 4. Possible values of A are therefore ±1, ±2, and ±4.

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3 years ago

5 Exam-style ABCD is a kite.

Mnenie [13.5K]

let's recall that in a Kite the diagonals meet each other at 90° angles, Check the picture below, so we're looking for the equation of a line that's perpendicular to BD and that passes through (-1 , 3).

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of BD

$y = \stackrel{\stackrel{m}{\downarrow }}{3}x-1\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

$\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{3\implies \cfrac{3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}$

so we're really looking for the equation of a line whose slope is -1/3 and passes through point A

$(\stackrel{x_1}{-1}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-\cfrac{1}{3}}[x-\stackrel{x_1}{(-1)}]\implies y-3=-\cfrac{1}{3}(x+1) \\\\\\ y-3=-\cfrac{1}{3}x-\cfrac{1}{3}\implies y=-\cfrac{1}{3}x-\cfrac{1}{3}+3\implies y=-\cfrac{1}{3}x+\cfrac{8}{3}$

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3 years ago

What is 7/12 as a decimal<br><br> Please help ASAP

svlad2 [7]

Answer:

$\frac{7}{12} = 0.583333333...$

Step-by-step explanation:

To write $\frac{7}{12}$ as a decimal.

Decimal defined as the number with a decimal point in it.

also, the decimal point separates part of whole number and the fractional part in the decimal numbers.

To turn this fraction into a decimal number,

all you have to do is to divide the top number by bottom number i.e

$\frac{7}{12} = 7 \div 12$

$\frac{7}{12} = 0.583333333...$

Therefore, 7/12 as a decimal is, 0.583333333....

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3 years ago

Hey, babes! Here is a question for today-

Papessa [141]

Answer:

The equation has the form: y = a + b * x where a and b are constant numbers. The variable x is the independent variable, and y is the dependent variable. Typically, you choose a value to substitute for the independent variable and then solve for the dependent variable.

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3 years ago

What is the domain and range of the following function

mel-nik [20]

Answer:

domain: (–∞,∞) or all real numbers

range: (–∞,∞) or all real numbers

Step-by-step explanation:

domain is left to right (x-axis). looking at the graph, as you go from left to right, the x-values are infinitely getting more negative and positive.

range is bottom to top (y-axis). as you go from bottom to top, the y-values are infinitely getting more negative and positive.

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3 years ago